CONVERGENCE RESULTS OF RUNGE-KUTTA METHODS FOR MULTIPLY-STIFF SINGULAR PERTURBATION PROBLEMS

被引：0

作者：

Ai-guo Xiao (Department of Mathematics

机构：

来源：

JournalofComputationalMathematics | 2002年 / 03期

关键词：

Singular perturbation problems; Runge-Kutta methods; Convergence; Multiple-stiffness;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

摘要：

AbstractThe main purpose of this paper is to present some convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems whose stiffness is caused by small parameters and some other factors. A numerical example confirms our results.

引用

页码：325 / 336

页数：12

共 50 条

[21] D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS
Cheng-ming Huang (Institute of Applied Mathematics
JournalofComputationalMathematics, 2001, (03) : 259 - 268
[22] ORDER RESULTS FOR IMPLICIT RUNGE-KUTTA METHODS APPLIED TO STIFF SYSTEMS
FRANK, R
SCHNEID, J
UEBERHUBER, CW
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (03) : 515 - 534
[23] DIAGONALLY IMPLICIT RUNGE-KUTTA METHODS FOR STIFF ODES
ALEXANDER, R
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (06) : 1006 - 1021
[24] Increasing the accuracy of explicit Runge-Kutta methods in solving moderately stiff problems
Skvortsov, LM
DOKLADY MATHEMATICS, 2001, 63 (03) : 387 - 389
[25] TOWARDS EFFICIENT RUNGE-KUTTA METHODS FOR STIFF SYSTEMS
BUTCHER, JC
CASH, JR
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (03) : 753 - 761
[26] On the improvement of accuracy of explicit Runge-Kutta methods at solution of moderately stiff problems
Skvortsov, L.M.
Doklady Akademii Nauk, 2001, 378 (05) : 602 - 605
[27] Diagonally implicit Runge-Kutta methods for stiff ODEs
Kennedy, Christopher A.
Carpenter, Mark H.
APPLIED NUMERICAL MATHEMATICS, 2019, 146 : 221 - 244
[28] INTEGRATION OF STIFF MECHANICAL SYSTEMS BY RUNGE-KUTTA METHODS
LUBICH, C
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (06): : 1022 - 1053
[29] EXPONENTIAL RUNGE-KUTTA METHODS FOR STIFF KINETIC EQUATIONS
Dimarco, Giacomo
Pareschi, Lorenzo
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 49 (05) : 2057 - 2077
[30] PRECONDITIONING IN PARALLEL RUNGE-KUTTA METHODS FOR STIFF INITIAL-VALUE PROBLEMS
VANDERHOUWEN, PJ
SOMMEIJER, BP
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 28 (10-12) : 17 - 31

← 1 2 3 4 5 →